1 citations · 1 across the 7 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.MG2022
Poncelet and the arquimedean twins
Liliana Gabriela Gheorghe
We give a sharp construction for twins in arbelos, based on polar reciprocity. In the process, new circles displaying arquimedean afinities came into scene.
math.MG2022
Fine proprieties of Lemoine point and the inscribed conic
Liliana Gabriela Gheorghe
The center of an inscribed conic which have a given perspector is the complement of its isotomic conjugate. We provide a synthetic proof, based on fine proprieties of Lemoine point…
math.MG2022
Exploring the Steiner-Soddy Porism
Ronaldo Garcia, Liliana Gheorghe, Dan Reznik
We explore properties and loci of a Poncelet family of polygons -- called here Steiner-Soddy -- whose vertices are centers of circles in the Steiner porism, including conserved qua…